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113563125 = 3254131553
BaseRepresentation
bin1101100010011…
…01010111110101
321220200121022200
412301031113311
5213033010000
615134015113
72546161554
oct661152765
9256617280
10113563125
1159115725
1232047499
131a6b2120
1411121d9b
159e83500
hex6c4d5f5

113563125 has 60 divisors (see below), whose sum is σ = 220888668. Its totient is φ = 55872000.

The previous prime is 113563123. The next prime is 113563127. The reversal of 113563125 is 521365311.

113563125 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 631 + 25 = 666.

It is an interprime number because it is at equal distance from previous prime (113563123) and next prime (113563127).

It can be written as a sum of positive squares in 10 ways, for example, as 112911876 + 651249 = 10626^2 + 807^2 .

It is not a de Polignac number, because 113563125 - 21 = 113563123 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113563123) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 72349 + ... + 73901.

Almost surely, 2113563125 is an apocalyptic number.

113563125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

113563125 is a deficient number, since it is larger than the sum of its proper divisors (107325543).

113563125 is a wasteful number, since it uses less digits than its factorization.

113563125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1592 (or 1574 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The square root of 113563125 is about 10656.6000675638. The cubic root of 113563125 is about 484.2605730397.

The spelling of 113563125 in words is "one hundred thirteen million, five hundred sixty-three thousand, one hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 125 195 225 325 375 585 625 975 1125 1553 1625 1875 2925 4659 4875 5625 7765 8125 13977 14625 20189 23295 24375 38825 60567 69885 73125 100945 116475 181701 194125 302835 349425 504725 582375 908505 970625 1514175 1747125 2523625 2911875 4542525 7570875 8735625 12618125 22712625 37854375 113563125